activity
20092025
most citedImproved Cheeger's Inequality: Analysis of Spectral Partitioning Algorithms through Higher Order Spectral Gap

17 citations · 19 across the 17 of their papers we have counts for

collaborators

22 papers

math.ST2025

Optimal Bounds for Tyler's M-Estimator for Elliptical Distributions

Lap Chi Lau, Akshay Ramachandran

A fundamental problem in statistics is estimating the shape matrix of an Elliptical distribution. This generalizes the familiar problem of Gaussian covariance estimation, for which…

cs.DS2024

Experimental Design Using Interlacing Polynomials

Lap Chi Lau, Robert Wang, Hong Zhou

We present a unified deterministic approach for experimental design problems using the method of interlacing polynomials. Our framework recovers the best-known approximation guaran…

cs.DS2024

Spectral Sparsification by Deterministic Discrepancy Walk

Lap Chi Lau, Robert Wang, Hong Zhou

Spectral sparsification and discrepancy minimization are two well-studied areas that are closely related. Building on recent connections between these two areas, we generalize the…

cs.DS2024

On the Houdré-Tetali conjecture about an isoperimetric constant of graphs

Lap Chi Lau, Dante Tjowasi

Houdré and Tetali defined a class of isoperimetric constants of graphs for , and conjectured a Cheeger-type inequality for of the form $$λ_2 \les…

cs.DS2023

Fast Algorithms for Directed Graph Partitioning Using Flows and Reweighted Eigenvalues

Lap Chi Lau, Kam Chuen Tung, Robert Wang

We consider a new semidefinite programming relaxation for directed edge expansion, which is obtained by adding triangle inequalities to the reweighted eigenvalue formulation. Apply…

cs.DS2023

Experimental Design for Any -Norm

Lap Chi Lau, Robert Wang, Hong Zhou

We consider a general -norm objective for experimental design problems that captures some well-studied objectives (D/A/E-design) as special cases. We prove that a randomized loc…